465305880 has 128 divisors (see below), whose sum is σ = 1509177600. Its totient is φ = 114089472.

The previous prime is 465305879. The next prime is 465305887. The reversal of 465305880 is 88503564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465305887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590847 + ... + 591633.

It is an arithmetic number, because the mean of its divisors is an integer number (11790450).

Almost surely, 2^465305880 is an apocalyptic number.

465305880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465305880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754588800).

465305880 is an abundant number, since it is smaller than the sum of its proper divisors (1043871720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

465305880 is a wasteful number, since it uses less digits than its factorization.

465305880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 465305880 is about 21570.9499095427. The cubic root of 465305880 is about 774.9009266347.

The spelling of 465305880 in words is "four hundred sixty-five million, three hundred five thousand, eight hundred eighty".